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409677705 = 3259103949
BaseRepresentation
bin11000011010110…
…010111110001001
31001112212210011100
4120122302332021
51314334141310
6104352452013
713103126433
oct3032627611
91045783140
10409677705
111a0285a18
12b524a009
1366b4c558
143c5a3653
1525e75ec0
hex186b2f89

409677705 has 12 divisors (see below), whose sum is σ = 710108100. Its totient is φ = 218494752.

The previous prime is 409677703. The next prime is 409677721. The reversal of 409677705 is 507776904.

409677705 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 350326089 = 7704^2 + 18717^2 .

It is not a de Polignac number, because 409677705 - 21 = 409677703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9103949 = 409677705 / (4 + 0 + 9 + 6 + 7 + 7 + 7 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (409677701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4551930 + ... + 4552019.

It is an arithmetic number, because the mean of its divisors is an integer number (59175675).

Almost surely, 2409677705 is an apocalyptic number.

409677705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409677705 is a deficient number, since it is larger than the sum of its proper divisors (300430395).

409677705 is a wasteful number, since it uses less digits than its factorization.

409677705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103960 (or 9103957 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 409677705 is about 20240.4966589261. The cubic root of 409677705 is about 742.7011732550.

The spelling of 409677705 in words is "four hundred nine million, six hundred seventy-seven thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 9103949 27311847 45519745 81935541 136559235 409677705